Synchronization by Nonlinear Frequency Pulling
M.C. Cross, A. Zumdieck, Ron Lifshitz, and J.L. Rogers
TL;DR
This paper investigates how nonlinear oscillators synchronize through reactive coupling and frequency pulling, providing analytical insights into the conditions for synchronization onset and the fully locked state in all-to-all coupled systems.
Contribution
It introduces a model for nonlinear oscillator synchronization driven by reactive coupling and frequency pulling, analyzing the transition to synchronized states in a mean field setting.
Findings
Derived conditions for the onset of synchronization.
Characterized the fully locked synchronized state.
Analyzed the influence of coupling strength and nonlinearity.
Abstract
We analyze a model for the synchronization of nonlinear oscillators due to reactive coupling and nonlinear frequency pulling motivated by the physics of arrays of nanoscale oscillators. We study the model for the mean field case of all-to-all coupling, deriving results for the onset of synchronization as the coupling or nonlinearity increase, and the fully locked state when all the oscillators evolve with the same frequency.
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